Question

If F(x)=3x-2/6 which of the following is the inverse of F(x)?

Answer 1

Answer:

Step-by-step explanation:

I'm seeing that f(x) is

$\frac{3x-2}{6}$

What you do to find an inverse is switch the x and y coordinates and then solve for the new y.  Switching the x and y gives us:

$x=\frac{3y-2}{6}$

Now we have to solve for the new y.  Begin by muliplying both sides by 6 to get:

6x = 3y - 2 and

6x + 2 = 3y so

2x + 2/3 = y

To put it back into function notation:

$f^{-1}(x)=2x+\frac{2}{3}$